# acyclic digraph

## acyclic digraph

[ā¦sīk·lik ′dī‚graf]
(mathematics)
A directed graph with no directed cycles.
References in periodicals archive ?
Then, M is the double competition multigraph of an acyclic digraph if and only if there exist an ordering ([v.
Let M be the double competition multigraph of an acyclic digraph D.
If D is an acyclic digraph, then respecting intervals means preserving the partial order induced by D.
Then the relation induced on Q' by D is an acyclic digraph, which we denote by D' = D/~.
An activity network is an acyclic digraph, where the vertices represent events, and the direct edges represent the activities, to be performed in a project [1,2].
The running of process phases is subject to precedence restrictions whose there is associated the acyclic digraph G = (F,U), where if x, y [member of] F, then (x, y) [member of] U if and only if the beginning of the phase y need finishing of phase x.
The running of process phases is subject to precedence restrictions whose there is associated the acyclic digraph G = (F, U), where if x, y [member of] F, then (x, y) [member of] U if and only if the beginning of the phase y need finishing of phase x.
is an acyclic digraph with vertex set given by the blocks of [pi].
For illustration, recall that a vertex subset S [subset or equal to] V of a digraph G is a directed feedback vertex set, if removing S from G leaves an acyclic digraph.
Roberts  observed that any graph G together with sufficiently many isolated vertices is the competition graph of an acyclic digraph.
Indeed, a network whose underlying interaction graph is an acyclic digraph can only eventually end up in a configuration that will never change over time (aka.
Graphs with no PEC cycles or closed trails are interesting since they constitute, in a certain sense, the edge-colored counterpart of non-colored acyclic digraphs.
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